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Questions on the analytic and numerical equation solving functions of Mathematica (Solve, Reduce, NSolve, FindRoot, DSolve, RSolve, etc.).

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How to make DSolve express constants in terms of the unknown function [closed]

If I do DSolve[y'[x] == y[x], y[x], x] Mathematica returns {{y[x] -> E^x C[1]}} Is there a way to have it return this instead? {{y[x] -> E^x y[0]}}
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